Learning outcomes of the course unit
A first introduction to algebraic theory of lines and surfaces.
Course contents summary
Commutative rings with identity: ideals and radicals.
Modules over commutative rings with identity: Nakayama's lemma.
Local and semilocal rings: localizing.
Noetherian and artinian rings and modules.
Ideals of artinian rings: primary decomposition.
From commuttive algebra to algebraic geometry.
Atiya-MacDonald, Algebra commutativa, Feltrinelli